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142728299424 = 2533182390617
BaseRepresentation
bin1000010011101101000…
…1010000001110100000
3111122101222110211222000
42010323101100032200
54314301421040144
6145322442444000
713211640346014
oct2047321201640
9448358424860
10142728299424
1155592449957
12237b3503600
13105c7ba6659
146c9db0a544
153aa54e6769
hex213b4503a0

142728299424 has 96 divisors (see below), whose sum is σ = 416523824640. Its totient is φ = 47549477376.

The previous prime is 142728299347. The next prime is 142728299431. The reversal of 142728299424 is 424992827241.

142728299424 is a `hidden beast` number, since 142 + 72 + 8 + 2 + 9 + 9 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529764 + ... + 1620380.

It is an arithmetic number, because the mean of its divisors is an integer number (4338789840).

Almost surely, 2142728299424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142728299424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208261912320).

142728299424 is an abundant number, since it is smaller than the sum of its proper divisors (273795525216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142728299424 is a wasteful number, since it uses less digits than its factorization.

142728299424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92459 (or 92445 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 142728299424 in words is "one hundred forty-two billion, seven hundred twenty-eight million, two hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1823 3646 5469 7292 10938 14584 16407 21876 29168 32814 43752 49221 58336 65628 87504 90617 98442 131256 175008 181234 196884 262512 271851 362468 393768 525024 543702 724936 787536 815553 1087404 1449872 1575072 1631106 2174808 2446659 2899744 3262212 4349616 4893318 6524424 8699232 9786636 13048848 19573272 26097696 39146544 78293088 165194791 330389582 495584373 660779164 991168746 1321558328 1486753119 1982337492 2643116656 2973506238 3964674984 4460259357 5286233312 5947012476 7929349968 8920518714 11894024952 15858699936 17841037428 23788049904 35682074856 47576099808 71364149712 142728299424